Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 501, 407, 643, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 407, 643, 428 is 1
GCD(501, 407, 643, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 407, 643, 428 is 1
GCD(501, 407, 643, 428) = 1
Given Input numbers are 501, 407, 643, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 501, 407, 643, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 407, 643, 428 is 1.
Therefore, GCD of numbers 501, 407, 643, 428 is 1
Given Input Data is 501, 407, 643, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 407 is 11 x 37
Prime Factorization of 643 is 643
Prime Factorization of 428 is 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(501, 407) = 203907
GCD(501, 407) = ( 501 x 407 ) / 203907
GCD(501, 407) = 203907 / 203907
GCD(501, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 501, 407, 643, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 407, 643, 428?
GCD of 501, 407, 643, 428 is 1
2. Where do I get the detailed procedure to find GCD of 501, 407, 643, 428?
You can find a detailed procedure to find GCD of 501, 407, 643, 428 on our page.
3. How to find GCD of 501, 407, 643, 428 on a calculator?
You can find the GCD of 501, 407, 643, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.